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Finding the Third Proportional to 39,466.97 and 84,538.13

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Solution

The third proportional to 39,466.97 and 84,538.13 is: 181,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,466.97 : 84,538.13 = 84,538.13 : x
  2. Step 2: Convert to fraction form
    39,466.97/84,538.13 = 84,538.13/x
  3. Step 3: Cross multiply
    39,466.97x = 84,538.13 × 84,538.13
  4. Step 4: Simplify right side
    39,466.97x = 7,146,694,578.52
  5. Step 5: Solve for x
    x = 7,146,694,578.52/39,466.97
  6. Step 6: Final answer
    x = 181,080.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.